Perturbation Theory for Linear Operators

C L A S S I C SI N M A T H E M AT I C STosio KatoPerturbation Theoryfor Linear OperatorsSpringerTosio KatoPerturbation Theoryfor Linear OperatorsReprint of the 1980 EditionSpringerTosio KatoDepartment of Mathematics, University of CaliforniaBerkeley, CA 94720-3840 USAO riginally published as Vol. 132 of theGrundlehren der mathematischen WissenschaftenMathematics Subject Classification (1991): 46 BXX, 46 CXX, 47 AXX, 47 BXX,47D03, 47E05, 47F05, 81Q10, 81Q15, 81 UXXISBN 3-540-58661-X Springer-Verlag Berlin Heidelberg New YorkCIP data applied forThis work is subject to copyright. All rights are reserved, whether the whole or part of the material isconcerned, specifically the rights of translation, reprinting, reuse of illustration, recitation, broadcasting,reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publicationor parts thereof is permitted only under the provision of the German Copyright Law of September 9, 1965,in its current version, and permission for use must always be obtained from Springer-Verlag.

Perturbation theory for linear operators is a collection of diversified results in the spectral theory of linear operators, unified more or less loosely by their common concern with the behavior of spectral properties when the operators undergo a small change. Since its creation by RAY-

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  Linear, Operator, Theory, Perturbation, Perturbation theory for linear operators

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